How many times less is 10^2 than 10^6? Express your answer as an integer power of 10.(1 point)
Responses
10,000
10,000
0.0001
0.0001
10−4
10 superscript negative 4 baseline
104
10 superscript 4 baseline
10^2 is 10,000 times less than 10^6.
Roughly, it takes light less than 0.000000003 of a second to travel a one-meter distance. Express this number in the form of a × 10^n where 1 < a < 10 and is a one-digit number.(1 point)
Responses
3 × 108
3 times 10 superscript 8 baseline
3 × 10−8
3 times 10 superscript negative 8 baseline
3 × 109
3 times 10 superscript 9 baseline
3 × 10−9
3 times 10 superscript negative 9 baseline
Roughly, it takes light 3 × 10^-9 seconds to travel a one-meter distance.
To find how many times less 10^2 (100) is than 10^6 (1,000,000), we can divide 10^6 by 10^2.
10^6 / 10^2 = 10^(6-2) = 10^4
Therefore, 10^2 is 10^4 times less than 10^6.
To determine how many times less one number is compared to another, you divide the larger number by the smaller number.
In this case, we want to find out how many times less is 10^2 than 10^6. So we divide 10^6 by 10^2.
10^6 / 10^2 = 10^(6-2) = 10^4
Therefore, 10^2 is 10^4 times less than 10^6.